Faber polynomial coefficient estimates for bi-close-to-convex functions defined by the q-fractional derivative

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dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorAl-Shbeil, Isra
dc.contributor.authorXin, Qin
dc.contributor.authorTchier, Fairouz
dc.contributor.authorKhan, Shahid
dc.contributor.authorMalik, Sarfraz Nawaz
dc.date.accessioned2024-01-25T21:45:34Z
dc.date.available2024-01-25T21:45:34Z
dc.date.copyright2023en_US
dc.date.issued2023
dc.description.abstractBy utilizing the concept of the q-fractional derivative operator and bi-close-to-convex functions, we define a new subclass of A, where the class A contains normalized analytic functions in the open unit disk A and is invariant or symmetric under rotation. First, using the Faber polynomial expansion (FPE) technique, we determine the lth coefficient bound for the functions contained within this class. We provide a further explanation for the first few coefficients of bi-close-to-convex functions defined by the q-fractional derivative. We also emphasize upon a few well-known outcomes of the major findings in this article.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., Al-Shbeil, I., Xin, Q., Tchier, F., Khan, S., & Malik, S. N. (2023). Faber polynomial coefficient estimates for bi-close-to-convex functions defined by the Q-fractional derivative. Axioms, 12(6), 585. https://doi.org/10.3390/axioms12060585en_US
dc.identifier.urihttps://doi.org/10.3390/axioms12060585
dc.identifier.urihttp://hdl.handle.net/1828/15880
dc.language.isoenen_US
dc.publisherAxiomsen_US
dc.subjectquantum (or q-) calculus
dc.subjectanalytic functions
dc.subjectq-derivative operator
dc.subjectbi-univalent functions
dc.subjectFaber polynomial expansions
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleFaber polynomial coefficient estimates for bi-close-to-convex functions defined by the q-fractional derivativeen_US
dc.typeArticleen_US

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